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I am self-studying Multiplication and Division. This is a problem I encountered and have hard time with it. I have no clue where to start. In fact, I have read this problem many times, wondering whether it is a valid problem.

In the division problem, the letters a, b, c, d, and e represent five different digits. Find the digit represented by c.

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  • This has nothing to do with [tag:division-algebras]. Please read the tag wiki before using a tag you are unfamiliar with. In math we frequently give a common sounding word a very technical meaning, so newbies will go astray, if they add tags that just feel vaguely relevant. – Jyrki Lahtonen Oct 17 '16 at 17:37
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    To answer this you need to specify the division problem. Without it, there isn't enough information to answer this. – John Oct 17 '16 at 17:39
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    There should be a picture or figure that accompanies the question. Without it, there is no way to answer the question. – angryavian Oct 17 '16 at 17:39

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The second subtraction implies $e=2$ and $d=3$. Also, $a \cdot b = 35$. So either $a=5$ or $a=7$.

If $a=7$, then the first subtraction does not make sense since $c-a=3$ implies $c=10$, but $c$ has to be a single digit. Thus $a=5$ and $c=a+3=8$.

angryavian
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